Solve for f.
2 – 1/4f = f – 3/4f + 3
f = ____
Solve for f. 2 – 1/4f = f – 3/4f + 3 f = ____
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To solve for ( f ) in the equation:
[
2 – frac{1}{4}f = f – frac{3}{4}f + 3
]
First, simplify the right side:
[
f – frac{3}{4}f = frac{1}{4}f
]
Now the equation becomes:
[
2 – frac{1}{4}f = frac{1}{4}f + 3
]
Next, let’s combine like terms. Add (frac{1}{4}f) to both sides:
[
2 = frac{1}{4}f + frac{1}{4}f + 3
]
This simplifies to:
[
2 = frac{2}{4}f + 3
]
Which is:
[
2 = frac{1}{2}f + 3
]
Now, subtract 3 from both sides:
[
2 – 3 = frac{1}{2}f
]
This gives:
[
-1 = frac{1}{2}f
]
Now, multiply both sides by 2 to isolate ( f ):
[
f = -2
]
So the solution is:
[
f = -2
]
Feel free to ask if you need further clarification!